This document is a report on an International Working Session on New Teaching Methods for School Mathematics held at Athens, Greece, which was called to discuss developments since the 1959 Royaumont Seminar on "New Thinking in School Mathematics." Chapter I deals with the curriculum and, in addition to talks on specific topics, includes complete…

Curves are considered to have the same shape when they are related by a similarity transformation of a certain kind. This paper extends earlier work on parallel curves to curves with the same shape. Some examples are given more or less explicitly. A generalization is used to show that the theory is ordinal and to show how the theory may be applied…

Gas flow patterns at a sampling nozzle are described in this presentation for the 12th Conference on Methods in Air Pollution and Industrial Hygiene Studies, University of Southern California, April, 1971. Three situations for sampling velocity are illustrated and analyzed, where the flow upstream of a sampling probe is: (1) equal to free stream…

This manual is designed for organizers and teachers concerned with training statistical personnel working at the primary and intermediate levels in government offices. It provides outlines of the subject matter for training and indicates teaching methods. The manual devotes a section to each of nine courses and covers principles and methods of…

The three parts of Vancouver's survey test in mathematics--computation, concepts, and problems--for grade 6 are presented. The parts contain 36, 24, and 12 items respectively. (For related document, see TM 002 473.) (KM)

Performance objectives are stated for each of the secondary school units included in this package of instructional guides prepared for the Dade County Florida Quinmester Program. All three units deal with mathematical applications or concepts in physics dealing with mathematical relationships: "Scientific…

The mathematical derivation of the statistics used for inference in some linear models assumes that values of the independent variables are pre-selected such that these variables can be treated as fixed rather than random variables. This assumption is often disregarded when these models are utilized in research. This study is an investigation of…

These recommendations cover the graduate course work for a doctorate in mathematics. A strong background is assumed of courses such as those outlined in "A General Curriculum in Mathematics for Colleges" and "Preparation for Graduate Study in Mathematics", some of which are reprinted in an appendix. This document then gives…

IDENTIFICATIONS WERE MADE OF THE MATHEMATICAL KNOWLEDGES COMMONLY USED IN OCCUPATIONS MOST READILY SUITABLE FOR NONCOLLEGE-BOUND YOUTH. TASK ITEMS FROM QUESTIONNAIRES USED IN OFFICE OCCUPATIONS, GENERAL MERCHANDISING, BUILDING TRADES, ELECTRONICS, FOOD SERVICE, CHILD CARE, AND AGRICULTURE STUDIES WERE EXAMINED FOR MATHEMATICAL KNOWLEDGE CONTENT.…

Children enjoy playing a game based on addition module seven. The system can be applied to questions concerning the days of a week. (SD)

Computational algorithms appearing in early American arithmetic text are discussed. (SD)

A series of five questions, related to a specific example, outlines the process of applying mathematics to real-life problems. These include needed information, translation, assumptions, solution, and generalizations. (MP)

Examples of the presentation and solution of variations on a common projectile trajectory problem are presented. (BB)

The patterns of the coefficients in the expansion of (x + y +z)n are discussed, and a recursive property is developed as a generalization of the Pascal triangle. (MP)

This discussion of the accomplishments of Buckminster Fuller describes the geodesic dome, the Dymaxion principle and its applications, and the Octet-Truss principle. (MP)